A Discrete Cyclic Mass Hierarchy 4^N for Primordial Black Holes: Bridging Asteroid-Mass Dark Matter to Early JWST Heavy Seeds

The recent discoveries by the James Webb Space Telescope (JWST) of mature, overly massive galaxies and supermassive black hole (SMBH) seeds at extreme redshifts (e.g., UHZ1 at z ≈ 10.3) fundamentally challenge the standard ΛCDM timeline of structure formation via sub-Eddington accretion. Simultaneously, the fundamental nature of Dark Matter remains elusive, with the asteroid-mass primordial black hole (PBH) window remaining one of the few unconstrained domains. We propose a unified, non-parametric solution derived from the Null-Vector Gravity (NVG) cyclic cosmology framework. We show that PBHs generated in prior aeons survive the QCD-scale Euclidean Genesis bounce and undergo a geometric mass amplification scaling as M_{N+1} = 4^N × M_seed during successive cyclic expansions. This discrete mass hierarchy naturally links the entire spectrum of black hole anomalies. Starting from a stable asteroid-mass base seed (~10⁻¹⁴ M☉) acting as collisionless dark matter, the geometric progression exactly predicts a population of heavy seeds in the range of 10⁵–10⁶ M☉ at the onset of the current cosmological epoch. This framework entirely eliminates the need for unphysical super-Eddington accretion rates or exotic direct-collapse mechanisms in the early universe.